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Simplifying 9n + 9 + -5n + 31 + -5 + 8n + 7n + -5 + 9n + -2 = 0 Reorder the terms: 9 + 31 + -5 + -5 + -2 + 9n + -5n + 8n + 7n + 9n = 0 Combine like terms: 9 + 31 = 40 40 + -5 + -5 + -2 + 9n + -5n + 8n + 7n + 9n = 0 Combine like terms: 40 + -5 = 35 35 + -5 + -2 + 9n + -5n + 8n + 7n + 9n = 0 Combine like terms: 35 + -5 = 30 30 + -2 + 9n + -5n + 8n + 7n + 9n = 0 Combine like terms: 30 + -2 = 28 28 + 9n + -5n + 8n + 7n + 9n = 0 Combine like terms: 9n + -5n = 4n 28 + 4n + 8n + 7n + 9n = 0 Combine like terms: 4n + 8n = 12n 28 + 12n + 7n + 9n = 0 Combine like terms: 12n + 7n = 19n 28 + 19n + 9n = 0 Combine like terms: 19n + 9n = 28n 28 + 28n = 0 Solving 28 + 28n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + 28n = 0 + -28 Combine like terms: 28 + -28 = 0 0 + 28n = 0 + -28 28n = 0 + -28 Combine like terms: 0 + -28 = -28 28n = -28 Divide each side by '28'. n = -1 Simplifying n = -1
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